Look at this cone:

,,

Look At This Cone:,,

Answers

Answer 1
Slant height=l=3ftRadius=r=2ft

We know

[tex]\boxed{\sf \star TSA_{(Cone)}=\pi r(r+\ell)}[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=2

\dfrac{22}{7}\times 2(2+3)[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{44}{7}(5)[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{220}{7}[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=31.4ft^2[/tex]

Now

New slant height =2(3)=6cmNew radius=2(2)=4cm

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{22}{7}\times 4(4+6)[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{88}{7}(10)[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{880}{7}[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=125.7cm^2[/tex]

So

[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{125.7}{31.4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cone)}}:{TSA_{(Old\:Cone)}}=4:1}}}[/tex]


Related Questions

I’m struggling bad! If you need a better pic I can

Answers

Answer:

could i have the website info  or the image clearer so i could try and help you

Step-by-step explanation:

PLEASE help me with this question. This is really URGENT

Answers

Answer:

c. p(10)=26,327(1+0.024)^10

Step-by-step explanation:

its just the answer

Answer:

[tex]\boxed{\sf Option \ 3}[/tex]

Step-by-step explanation:

The problem is exponential growth.

[tex]a(1+r)^t[/tex]

[tex]a = \sf initial \ amount[/tex]

[tex]r = \sf rate[/tex]

[tex]t= \sf time[/tex]

The third option is right.

[tex]P(10)=26237(1+2.4\%)^{10}[/tex]

[tex]P(10)=26237(1+0.024)^{10}[/tex]

with a tax rate of 0.0200, a tax bill of 1050 corresponds to an assessed valuation of

Answers

Answer:

$52,500

Step-by-step explanation:

1050/0.0200=52500

Answer:

B. 52,500

Step-by-step explanation:

2x-15=3(2x+3)
It’s multi step equations

Answers

x=−6 quick maths xd xd xd

Answer:

x = -6

Step-by-step explanation:

Hello!

2x - 15 = 3(2x + 3)

Distribute the 3

3 * 2x = 6x

3 * 3 = 9

2x - 15 = 6x + 9

Subtract 2x from both sides

-15 = 4x + 9

Subtract 9 from both sides

-24 = 4x

Divide both sides by 4

-6 = x

Hope this helps!

Listed below are numbers of internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. construct aâ scatterplot, find the value of the linear correlation coefficientâ r, and find theâ p-value of r. determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. use a significance level of alpha α equals = 0.05 0.05. internet users 78.0 78.0 79.0 79.0 56.2 56.2 68.3 68.3 77.9 77.9 38.2 38.2 award winners 5.5 5.5 8.8 8.8 3.3 3.3 1.7 1.7 10.8 10.8 0.1 0.1

Answers

Answer:

There is not sufficient evidence to support a claim of linear correlation between the two variables.

Step-by-step explanation:

The data provided is as follows:

X        Y

78       5.5

79       8.8

56.2      3.3

68.3       1.7

77.9      10.8

38.2       0.1

(a)

The scatter plot is attached below.

(b)

Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, r.

The correlation coefficient between the number of internet users and the award winners is,

r = 0.797.

(c)

The test statistic value is:

[tex]t=r\sqrt{\frac{n-2}{1-r^{2}}}[/tex]

  [tex]=0.797\times\sqrt{\frac{6-2}{1-(0.797)^{2}}}\\\\=0.797\times 3.311372\\\\=2.639163484\\\\\approx 2.64[/tex]

The degrees of freedom is,

df = n - 2

   = 6 - 2

   = 4

Compute the p-value as follows:

[tex]p-value=P(t_{n-2}<2.64)=0.057[/tex]

*Use a t-table.

p-value = 0.057 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.

Mary Ore and Tobi are to share 142naira such that Ore gets 11naira less than Mary and 7naira more than Tobi . How much is Tobi's share?

Answers

Answer:

₦40.30

Step-by-step explanation:

Step 1: Find how much each person gets equally

Divide 142 by 3

[tex]142 \div 3\\\\= 47.3[/tex]

Each person's share is ₦47.3

Step 2: Find out how much Ore, Tobi, and Mary has

Subtract 11 from Ore's share

[tex]47.3 - 11\\\\= 36.3[/tex]

Add that 11 to Mary's share

[tex]11 + 47.3\\\\= 58.3[/tex]

Subtract 7 from Tobi's share

[tex]47.3 - 7\\\\= 40.3[/tex]

Add that 7 to Ore's now-share

[tex]36.3 +7\\\\=43.3[/tex]

Tobi's share is 40 naira and 30 kobo

Extra Info:

To see if it is correct, confirm the answer by adding all their shares.

Verizon charges a $40 sign up fee and $60 a month for their new hotspot. T-Mobile charges a $100 sign up fee and then $40 per month for their new hotspot. After how many months of service will the two company's fees be the same?

Answers

It will take 3 months for both company's fees be the same

Let

y = total charges

x = number of months

Verizon:

y = 40 + 60x

T-Mobile:

y = 100 + 40x

Number of months it will take both companies to charge the same fee

Equate the total charges of both companies

40 + 60x = 100 + 40x

40 - 100 = 40x - 60x

-60 = - 20x

x = -60 / -20

x = 3 months

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Write the domain and range of the function f(x)=3x+5

Answers

Answer:

-1.6

Step-by-step explanation:

0 = 3x + 5

-3x = 5 /÷(-3)

x = -5 ÷ 3

x = -1.6 -5/3

Pls help I am giving brainliest help me ASaP

Answers

Answer:

4

Step-by-step explanation:

4 because 4^2 = 16.

Writing equations in standard form:

(1,-6) and (-7,2)

How would I write this in standard form? I already tried but I keep getting x+y=7 and it says it’s wrong so could someone help?

Answers

Answer:

[tex]x + y = - 5[/tex]

Step-by-step explanation:

hopefully it is clear and makes sense

:)

choose the equation below that represents the line passing through the point (1,-4) with a slope of 1/2

Answers

Well, we can use the form y = mx + b, where m equals the slope and x and y are the coordinate values:
-4 = 1/2(1) + b
b = 9/2
Therefore, the equation of the line is:
y = 1/2x + 9/2


[tex]2 |3 \sqrt{2} - 2 \sqrt{3} | + |3 \sqrt{8} - 8 \sqrt{3} | + 2 \sqrt{12} [/tex]
.......................​

Answers

Answer:

hope it helps

Step-by-step explanation:

Answer:

SEE THE IMAGE FOR SOLUTION..

what is the solution to 2(3x+4)=20​

Answers

Answer:

x=36

Step-by-step explanation:

Answer: X=2

Step-by-step explanation: you want to distribute the 2 to the 3x and 4. That will give you 6x+8 now you want to subtract 8 from both sides. That will give you 6x=12 and you divide both sides by 6 and your final answer should be X=2. :)

If a TV set is bought on the installment plan there is a down payment of $25 and 12 monthly payments of $15 each. The same set may be bought for cash at 12% less than the installment price. The amount saved by making a cash payment is:

Answers

Answer:

Amount saved by making a cash payment is $24.6

Step-by-step explanation:

We start by calculating the amount to be paid if payment was by installments.

We are told that there would be a down payment of $25 and $15 every month for 12 months.

So total installment payment would be;

$25 + 12($15) = $25 + $180 = $205

Now let’s try and figure out the cash payment

For the cash payment, we have 12% less than installment payment.

Kindly note that 12% is same as 12/100 = 0.12

Thus, 12% less payment would be;

205-0.12(205) = 205 - 24.6 = $180.4

Thus, the amount saved if payment was cash would be;

$205 - $180.4 = $24.6

Monica wants to save at least $399 to buy a new laptop computer. She has $284 saved
already. Which option below will allow her to have enough money to buy the computer?
a. She spends $22 and earns $93.
b. She is given $38 and earns $42.
c. She spends $82 and earns $94.
d. She earns $580 and spends $422.

Answers

Answer:

D. She earns $580 and spends $422.

Step-by-step explanation:

The option of Monica earning $580 and spending $422 will allow her to have enough money to buy the new computer.

First, add $580 to the $284 that she already has saved:

284 + 580

= $864

Then, subtract $422 from this:

864 - 422

= $442

So, this option will leave her with $442. Since she only needed to save at least $399 to buy the computer, this means she has enough money for it.

The option that will let her buy the computer is D. She earns $580 and spends $422.

Consider the following polynomial expression: 4x5 - 16x2 + 13x8.

Part D: what is the leading term ?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

[tex]13x^8[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x^5 - 16x^2 + 13x^8[/tex]

The leading term contains the highest power of 'x'.Since 8 is greater than 5 and 2, the leading term in the give in polynomial would be [tex]13x^8[/tex].

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The research chemists at MegaClean created a new cleaner that keeps car and truck tires shiny and clean for one year. They believe that this product will be highly successful and will attract customers to purchase their existing line of household cleaning products.

Answers

Answer:

Complementary effect

Step-by-step explanation:

Complementary goods service is another good or item used in conjunction with the service. In general, complementary goodness does not matter when eaten alone, but when combined with another good or service, it increases the overall value of the offering. When a product shares a lucrative relationship with another product offering it is considered an affiliate, for example, an iPhone and apps used with it, so that this is good example of Complementary effect

What is the DOMAIN for rational function?

Answers

Answer:

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .

Step-by-step explanation:

i google this l M A O

A rational function's domain includes all real numbers x except those with a denominator of zero.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A rational function's domain includes all real numbers x except those with a denominator of zero. To locate these x values that are not in the domain of a rational function, set the denominator to zero and solve for x.

Hence, A rational function's domain includes all real numbers x except those with a denominator of zero.

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this is progression
i need to know C plsssss
thankssssssssssßsssssss

Answers

Answer:

[tex]l = 28[/tex]

Step-by-step explanation:

Given

[tex]S = \sum (2k - 3); k = 4\ to\ l[/tex]

Required

What is l when S = 725

This can be solved using Sum of n terms of an AP;

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

Where

[tex]S_n = 725[/tex]

[tex]T_1 = first\ term[/tex]

To get T1; we substitute 4 for k in 2k - 3

[tex]T_1 = 2 * 4 - 3[/tex]

[tex]T_1 = 8 - 3[/tex]

[tex]T_1 = 5[/tex]

[tex]T_n = last\ term[/tex]

To get Tn; we substitute l for k in 2k - 3

[tex]T_n = 2 * l - 3[/tex]

[tex]T_n = 2l - 3[/tex]

n = the number of terms;

Since k = 4 to l, then

[tex]n = l - 4 +1[/tex]

[tex]n = l - 3[/tex]

Substitute these values in [tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

[tex]725 = \frac{l-3}{2}(5 + 2l - 3)[/tex]

Collect Like Terms

[tex]725 = \frac{l-3}{2}(2l + 5- 3)[/tex]

[tex]725 = \frac{l-3}{2}(2l + 2)[/tex]

Open the bracket

[tex]725 = \frac{l-3}{2} * 2l + \frac{l-3}{2} * 2[/tex]

[tex]725 = (l-3) * l + (l-3)[/tex]

[tex]725 = l^2-3l + l-3[/tex]

[tex]725 = l^2-2l -3[/tex]

Subtract 725 from both sides

[tex]725 - 725 = l^2-2l -3 - 725[/tex]

[tex]l^2-2l -3 - 725 = 0[/tex]

[tex]l^2-2l - 728 = 0[/tex]

[tex]l^2 + 26l - 28l - 728 = 0[/tex]

[tex]l(l + 26) - 28(l + 26) = 0[/tex]

[tex](l - 28)(l + 26) = 0[/tex]

[tex]l - 28 = 0[/tex] or [tex]l + 26 = 0[/tex]

[tex]l = 28[/tex] or [tex]l = -26[/tex]

But l must be positive;

Hence, [tex]l = 28[/tex]

There are 2 Rectangles, a red one and a blue one.The Blue rectangle has the perimeter of 250 km. If the area of the red rectangle is 2,500 square kilometers, what are its dimensions?


(Both of the rectangles have the same perimeter)

Answers

Answer:a

Step-by-step explanation:

Answer:

length = 100

width = 25

Step-by-step explanation:

Let L = length of red rectangle

Let H = height of red rectangle

Equation1:   L+H=125 : we know the perimeter is 250 so L+H is 125

Equation2:   L*H=2,500 : we know the area is 2,500

Equation3:   L=125-H : subtracted H from both sides of Equation1

Equation4:   (125-H)*H=2,500 : substituted "125-H" for L into Equation2

Solve equation4:

  (125-H)*H=2,500   multiple terms on left side of equation

  125H - H^2 = 2,500   rearrange into standard form

  H^2 - 125H + 2,500 = 0

At this point you can "brute force" the answer with the quadratic formula:

H = (125 ± SQRT(125^2 - 4*1*2500) ) / 2

H = 100 or H = 25 : actually these are L and H

You could also factor the equation:

(H - 100) * (H - 25) = 0 : gives same answe

In ΔEFG, the measure of ∠G=90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ∠F?

Answers

Answer:

sinF = [tex]\frac{11}{61}[/tex]

Step-by-step explanation:

sinF = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{EG}{FE}[/tex] = [tex]\frac{11}{61}[/tex]

The ratio which represents the sine of ∠F is [tex]\frac{11}{61}[/tex].

What is sine of an angle?

In a right angled triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse.

Formula for sine of an angle

sin θ = opposite side w.r.t θ / hypotenuse

According to the given question

We have

A right angle triangle EFG, in which

∠G = 90 degree

EG = 11

FE = 61

and,  GF = 60

Now, the opposite side with respect to ∠F is GE

and the hypotenuse is EF

Therefore, sine of ∠F = side which is opposite w.r.t ∠F/ hypotenuse

⇒ [tex]sinF=\frac{GE}{EF}[/tex]

⇒ [tex]SinF=\frac{11}{61}[/tex]

Hence, the ratio which represents the sine of ∠F is [tex]\frac{11}{61}[/tex].

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Multiply.
(7c+6)(-5c-4)
Simplify your answer.
Х

Answers

Answer:

120c

Step-by-step explanation:

7c(-5c)*(-4+6)

7c+5c*4+6

12c*10

120c

Answer:

the answer can be step by step explanation will be found in the answer was Matilda by 776 7 x 6 then the answer you will you - with the answer dancer used you New divide the answer that answer the simple your answer if we multiply you can contact me and say me in which is correct or wrong and I am a teacher

Help pls! Gotta be done before I go to work :((

Answers

Answer:

A = 104 ft²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ are the parallel bases

Here h = 8, b₁ = 10 + 6 = 16, b₂ = 10 , then

A = [tex]\frac{1}{2}[/tex] × 8 × (16 + 10) = 4 × 26 = 104 ft²

Help please, I would really appreciate it. :)

Answers

Answer:

9, 13, 17, 21

Step-by-step explanation:

If x=2,

y=1+4(2)

y=9

This goes on, like a pattern. If x increases by 1, y inreases by 4. So, if y=3, x=13. If x=4, y=17, and so on.

A toy box in the shape of a rectangular prism has a volume of 6,912 cubic inches. The base area of the toy box is 288 square inches. What is the height of the toy box?

Answers

Answer:

h= 24 inches

Step-by-step explanation:

(Volume)= (Base Area) * (Height)

6,912= 288h

h=

WILL GIVE BRAINLIEST AND 30 POINTS!
Admission to a baseball game is $5.00 for general admission and $7.00 for reserved seats. The receipts were $6192.00 for 1136 paid admissions. How many of each ticket were sold? (Round to nearest integer if necessary.)
_ general admissions tickets sold
_ reserved seating tickets sold

Answers

Answer:

General admissions sold: 880

Reserved seating sold: 256

Step-by-step explanation:

Set up equation:

Variable x = people who bought general admission

Variable y = people who bought reserved seating

x + y = 1136

5x + 7y = 6192

Isolate a variable in any equation:

Y = 1136 - x

Substitute the value of the variable in the other equation:

5x + 7(1136 - x) = 6192

5x + 7952 - 7x = 6192

-2x + 7952 = 6192

-2x = -1760

x = 880

Substitute the value of x in any equation:

880 + y = 1136

y = 256

Check your work:

880 + 256 = 1136

1136 = 1136

Correct!

5(880) + 7(256) = 6192

4400 + 1792 = 6192

6192 = 6192

Correct!

If a is an odd integer and b is an even integer, which of the following makes an odd integer?
A.) 3b
B.) a+3
C.) 2(a+b)
D.) a+2b
Explain your answer

Answers

9514 1404 393

Answer:

  D.) a+2b

Step-by-step explanation:

The integers 'a' and 'b' can be any, so you can choose a couple and evaluate these expressions to see what you get. For example, we can let a=1 and b=0. For these values, the offered expressions evaluate to ...

  A) 3(0) = 0 . . . even

  B) 1 +3 = 4 . . . even

  C) 2(1+0) = 2 . . . even

  D) 1 +2(0) = 1 . . . odd

_____

Additional comment

These rules apply to even/odd:

odd × odd = oddodd × even = eveneven × even = evenodd + odd = evenodd + even = oddeven + even = even

Then A is (odd)(even) = even; B is (odd)+(odd) = even; C is (even)(whatever) = even; D = (odd)+(even) = odd.

13. A pair of shoes sell for $27 per pair. There is a sale tomorrow on shoes offering two pairs for $45.
How much will 3 pairs of shoes cost today?

Answers

Answer:

$72

Step-by-step explanation:

The sale offers 2 pair of shoes for $45, but the price is same for 1 pair of shoes.

The cost of 3 pair of shoes

= The sale price of 2 pair of shoes + Regular price of 1 pair of shoes

= $45 + $27

= $72

So, 3 pairs of shoes will cost $72 today.

what is 1/2(10x +20y +10z) using the distributive property? also as an equivalent expression?

Answers

Answer:

5x+10y+5z.

Step-by-step explanation:

The given expression is

[tex]\dfrac{1}{2}(10x+20y+10z)[/tex]

We need to find the equivalent expression by using the distributive property.

By using the distributive property, the given expression can be written as

[tex]\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)[/tex]

[tex]=5x+10y+5z[/tex]

Therefore, the required expression is 5x+10y+5z.

shirley purchased a plot of land for $19,500. the land appreciates about 3.9% each year. what is the value of the land after 5 years

Answers

Answer:

$23,302.50

Step-by-step explanation:

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